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c172l_takeoff.py
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c172l_takeoff.py
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#!/bin/which python3
import math
from math import acos, cos, sin
from typing import Dict, List
takeoff: Dict[int, Dict] = {
2300: {
'weight': 2300,
'ias_at_50': 68,
'altitude': {
0: { # sea level
'head_wind': {
0: {
'ground_run': 865,
'clear_50': 1525
},
10: {
'ground_run': 615,
'clear_50': 1170
},
20: {
'ground_run': 405,
'clear_50': 850
}
}
},
2500: {
'head_wind': {
0: {
'ground_run': 1040,
'clear_50': 1910
},
10: {
'ground_run': 750,
'clear_50': 1485
},
20: {
'ground_run': 505,
'clear_50': 1100
}
}
},
5000: {
'head_wind': {
0: {
'ground_run': 1255,
'clear_50': 2480
},
10: {
'ground_run': 920,
'clear_50': 1955
},
20: {
'ground_run': 630,
'clear_50': 1480
}
}
},
7500: {
'head_wind': {
0: {
'ground_run': 1565,
'clear_50': 3855
},
10: {
'ground_run': 1160,
'clear_50': 3110
},
20: {
'ground_run': 810,
'clear_50': 2425
}
}
}
}
},
2000: {
'weight': 2000,
'ias_at_50': 63,
'altitude': {
0: { # sea level
'head_wind': {
0: {
'ground_run': 630,
'clear_50': 1095
},
10: {
'ground_run': 435,
'clear_50': 820
},
20: {
'ground_run': 275,
'clear_50': 580
}
}
},
2500: {
'head_wind': {
0: {
'ground_run': 755,
'clear_50': 1325
},
10: {
'ground_run': 530,
'clear_50': 1005
},
20: {
'ground_run': 340,
'clear_50': 720
}
}
},
5000: {
'head_wind': {
0: {
'ground_run': 905,
'clear_50': 1625
},
10: {
'ground_run': 645,
'clear_50': 1250
},
20: {
'ground_run': 425,
'clear_50': 910
}
}
},
7500: {
'head_wind': {
0: {
'ground_run': 1120,
'clear_50': 2155
},
10: {
'ground_run': 810,
'clear_50': 1685
},
20: {
'ground_run': 595,
'clear_50': 1255
}
}
}
}
},
1700: {
'weight': 1700,
'ias_at_50': 58,
'altitude': {
0: { # sea level
'head_wind': {
0: {
'ground_run': 435,
'clear_50': 780
},
10: {
'ground_run': 290,
'clear_50': 570
},
20: {
'ground_run': 175,
'clear_50': 385
}
}
},
2500: {
'head_wind': {
0: {
'ground_run': 520,
'clear_50': 920
},
10: {
'ground_run': 355,
'clear_50': 680
},
20: {
'ground_run': 215,
'clear_50': 470
}
}
},
5000: {
'head_wind': {
0: {
'ground_run': 625,
'clear_50': 1095
},
10: {
'ground_run': 430,
'clear_50': 820
},
20: {
'ground_run': 270,
'clear_50': 575
}
}
},
7500: {
'head_wind': {
0: {
'ground_run': 765,
'clear_50': 1370
},
10: {
'ground_run': 535,
'clear_50': 1040
},
20: {
'ground_run': 345,
'clear_50': 745
}
}
}
}
}
}
def calculate_headwind_component(runway: float, wind_speed: float, wind_dir: float) -> float:
recip: float = 0.0
if runway < 180:
recip = runway + 180
else:
recip = runway - 180
recip_wind: float = 0.0
if wind_dir < 180:
recip_wind = wind_dir + 180
else:
recip_wind = wind_dir - 180
runway_radians: float = runway * math.pi / 180.0
wind_radians: float = wind_dir * math.pi / 180.0
runway_x: float = sin(runway_radians)
runway_y: float = cos(runway_radians)
wind_x: float = sin(wind_radians)
wind_y: float = cos(wind_radians)
dot_product: float = (runway_x * wind_x) + (runway_y * wind_y)
theta_radians: float = acos(dot_product)
theta_degrees: float = round(theta_radians * 180 / math.pi)
significant_figures: float = 100.0
parallel_component: float = round(significant_figures * wind_speed * cos(theta_radians)) / significant_figures
xwind_component: float = round(significant_figures * wind_speed * sin(theta_radians)) / significant_figures
return parallel_component
def interpolate(value: float, lower_value: float, upper_value: float, lower_bound: float, upper_bound: float):
if value <= lower_bound:
return lower_value
if value >= upper_bound:
return upper_value
interpolated: float = lower_value + (((upper_value - lower_value) / (upper_bound - lower_bound)) * (value - lower_bound))
return interpolated
def interpolate_altitude_data(altitude: int, head_wind: float, altitude_data: Dict[int, Dict]) -> Dict[str, float]:
available_altitudes: List[int] = sorted(altitude_data.keys())
lower_altitude_data: Dict[str, Dict] = None
upper_altitude_data: Dict[str, Dict] = None
lower_altitude: int = 0
upper_altitude: int = 0
result: Dict[str, float] = {}
for i in range(1, len(available_altitudes)):
if available_altitudes[i - 1] < altitude < available_altitudes[i]:
lower_altitude = available_altitudes[i - 1]
upper_altitude = available_altitudes[i]
lower_altitude_data = altitude_data[lower_altitude]
upper_altitude_data = altitude_data[upper_altitude]
break
if lower_altitude_data is None and upper_altitude_data is None:
print('Check the density altitude. We have no performance data to calculate the take off distance')
return result
# get the headwind data
available_wind = sorted(lower_altitude_data['head_wind'].keys())
lower_lower_wind_data: Dict[str, float] = None
upper_lower_wind_data: Dict[str, float] = None
lower_upper_wind_data: Dict[str, float] = None
upper_upper_wind_data: Dict[str, float] = None
lower_head_wind: int = 0
upper_head_wind: int = 0
if int(head_wind) in available_wind:
lower_head_wind = int(head_wind)
upper_head_wind = int(head_wind)
else:
for i in range(1, len(available_wind)):
if available_wind[i - 1] < head_wind < available_wind[i]:
lower_head_wind = available_wind[i - 1]
upper_head_wind = available_wind[i]
break
if lower_head_wind == upper_head_wind == 0:
lower_head_wind = available_wind[-1:][0]
upper_head_wind = lower_head_wind
lower_lower_wind_data = lower_altitude_data['head_wind'][lower_head_wind]
upper_lower_wind_data = lower_altitude_data['head_wind'][upper_head_wind]
lower_upper_wind_data = upper_altitude_data['head_wind'][lower_head_wind]
upper_upper_wind_data = upper_altitude_data['head_wind'][upper_head_wind]
interpolated_lower_wind_data: Dict[str, float] = {}
interpolated_upper_wind_data: Dict[str, float] = {}
for key in lower_lower_wind_data.keys():
# Do lower
lower_value: float = lower_lower_wind_data[key]
upper_value: float = upper_lower_wind_data[key]
value: float = interpolate(head_wind, lower_value, upper_value, lower_head_wind, upper_head_wind)
interpolated_lower_wind_data[key] = value
# Do upper
lower_value = lower_upper_wind_data[key]
upper_value = upper_upper_wind_data[key]
value = interpolate(head_wind, lower_value, upper_value, lower_head_wind, upper_head_wind)
interpolated_upper_wind_data[key] = value
# interpolate the altitude from the interpolated wind
for key in interpolated_lower_wind_data.keys():
lower_value: float = interpolated_lower_wind_data[key]
upper_value: float = interpolated_upper_wind_data[key]
value: float = interpolate(altitude, lower_value, upper_value, lower_altitude, upper_altitude)
result[key] = value
return result
if __name__ == '__main__':
runway: float = float(input('What runway are you taking off from? '))
wind_speed: float = float(input('What is the wind speed (kts)? '))
wind_dir: float = float(input('What is the wind direction? '))
headwind_speed: float = calculate_headwind_component(runway * 10.0, wind_speed, wind_dir)
density_altitude: float = float(input('What is the density altitude (ft)? '))
temperature: float = float(input('What is the temperature (F)? '))
weight: int = int(input('What is your take-off weight (lb)? '))
dry_grass: str = input('Is the runway surface dry grass (N/y)? ')
# find the upper and lower bounds for the interpolation
available_weights = sorted(takeoff.keys())
lower_weight_data = None
upper_weight_data = None
lower_weight = 0
upper_weight = 0
for i in range(1, len(available_weights)):
if available_weights[i - 1] < weight <= available_weights[i]:
lower_weight = available_weights[i - 1]
upper_weight = available_weights[i]
lower_weight_data = takeoff[lower_weight]
upper_weight_data = takeoff[upper_weight]
break
if lower_weight_data is None and upper_weight_data is None:
print('No weight data found for flight. Please check you\'re not overweight')
exit(1)
lower_interpolation: Dict[str, float] = interpolate_altitude_data(int(density_altitude), headwind_speed, lower_weight_data['altitude'])
upper_interpolation: Dict[str, float] = interpolate_altitude_data(int(density_altitude), headwind_speed, upper_weight_data['altitude'])
interpolated_result: Dict[str, float] = {}
for key in lower_interpolation.keys():
lower_value: float = lower_interpolation[key]
upper_value: float = upper_interpolation[key]
value = interpolate(weight, lower_value, upper_value, lower_weight, upper_weight)
interpolated_result[key] = value
# apply temperature above standard correction
if temperature > 59.0:
multiplicative_factor: float = (temperature - 59) / 25
for key in interpolated_result.keys():
value: float = interpolated_result[key]
ten_percent: float = value * 0.1
value = value + (ten_percent * multiplicative_factor)
interpolated_result[key] = value
# apply the dry grass runway correction
dry_grass = dry_grass.lower()
# apply 7% of the 50ft to both ground run and clear 50
if dry_grass.startswith('y'):
correction: float = interpolated_result['clear_50'] * 0.07
for key in interpolated_result.keys():
value: float = interpolated_result[key]
value = value + correction
interpolated_result[key] = value
print('Headwind Component: %0.1f kts' % headwind_speed)
print('Ground Roll: %0.0f ft' % interpolated_result['ground_run'])
print('Distance to clear 50ft: %0.0f ft' % interpolated_result['clear_50'])